Answer
$n=2$
Work Step by Step
$\dot{Q}_c=8.4\ kW\times0.4=3.36\ kW$
$\dot{Q}_p=7\times100W=0.7\ kW$
$\dot{Q}=4.06\ kW=13853\ Btu/h$
$n=\dot{Q}/\dot{Q}_u,\ \dot{Q}_u=7000\ Btu/h$
$n=1.98\rightarrow n=2$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.